Making use of the cube root table, find the cubes root of the following (correct to three decimal places)
0.27

Given: 

0.27

To find: 

We have to find the cube root of the given number correct to three decimal places using cube root table.

Solution:

$\sqrt[3]{0.27}=\sqrt[3]{\frac{27}{100}}$

$=\sqrt[3]{\frac{270}{1000}}$

$=\sqrt[3]{\frac{27}{1000} \times 10}$

$=\sqrt[3]{(\frac{3}{10} \times \frac{3}{10} \times \frac{3}{10}) \times 10}$

$=\frac{3}{10} \sqrt[3]{10}$

$=\frac{3}{10} \times 2.154$

$=3 \times 0.2154$

$=0.6462$

$=0.646$

Tutorialspoint

Updated on: 10-Oct-2022

37 Views

Kickstart Your Career

Get certified by completing the course

Get Started